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422501376 = 21031112503
BaseRepresentation
bin11001001011101…
…101110000000000
31002110000021221010
4121023231300000
51331130021001
6105531400520
713320126303
oct3113556000
91073007833
10422501376
111a75445a0
12b95b3140
13696bc41b
1440180b3a
152715a8d6
hex192edc00

422501376 has 88 divisors (see below), whose sum is σ = 1228593024. Its totient is φ = 128020480.

The previous prime is 422501371. The next prime is 422501381. The reversal of 422501376 is 673105224.

It is an interprime number because it is at equal distance from previous prime (422501371) and next prime (422501381).

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422501371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27541 + ... + 40043.

Almost surely, 2422501376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614296512).

422501376 is an abundant number, since it is smaller than the sum of its proper divisors (806091648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422501376 is a wasteful number, since it uses less digits than its factorization.

422501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 422501376 is about 20554.8382625600. The cubic root of 422501376 is about 750.3710022240.

The spelling of 422501376 in words is "four hundred twenty-two million, five hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5632 8448 11264 12503 16896 25006 33792 37509 50012 75018 100024 137533 150036 200048 275066 300072 400096 412599 550132 600144 800192 825198 1100264 1200288 1600384 1650396 2200528 2400576 3200768 3300792 4401056 4801152 6401536 6601584 8802112 9602304 12803072 13203168 17604224 19204608 26406336 35208448 38409216 52812672 70416896 105625344 140833792 211250688 422501376